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On the Quantum Theory of Electronic Impacts

Oppenheimer, J. R. (1928) On the Quantum Theory of Electronic Impacts. Physical Review, 32 (3). pp. 361-376. ISSN 0031-899X. https://resolver.caltech.edu/CaltechAUTHORS:OPPpr28

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Abstract

It is shown that the previous treatment of electronic collisions has been incomplete; the error consists in the neglect of terms in the solution which correspond to an interchange of the colliding electron with one of those in the atom. The corrected first order cross section for elastic collisions is evaluated by Dirac's method for atomic hydrogen and helium. The complete solution for hydrogen is set up by Born's method for hydrogen; it is shown that the elastic cross section becomes infinite, for low velocities, with the reciprocal of the velocity; it is further shown that the first order cross section reduces to that already obtained. For hydrogen this is a monotonically increasing function; for atoms with completely paired electrons the monotonic increase is broken by a minimum at velocities corresponding to about a volt; the higher the azimuthal quantum number of the paired valence electrons, the more marked the minimum, and the lower the voltage at which it occurs.


Item Type:Article
Additional Information:©1928 The American Physical Society Received May 1928
Issue or Number:3
Record Number:CaltechAUTHORS:OPPpr28
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:OPPpr28
Alternative URL:http://dx.doi.org/10.1103/PhysRev.32.361
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1550
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:28 Jan 2006
Last Modified:02 Oct 2019 22:44

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